Solve the following problems. 1. Determine the focus and directrix of the parabola with the given equation. Sketch the graph, and indicate the focus, directrix, and vertex. а. у? b. 3x2 = -12y c. x2 – 6x – 2y + 9 = 0 = 20x

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please answer the questions in number 1 and 2.
Solve the following problems.
1. Determine the focus and directrix of the parabola with the given equation. Sketch
the graph, and indicate the focus, directrix, and vertex.
а. у?
b. Зx2 3D —12у
с. х2 — 6х — 2у +9 %3D 0
d. 3y? + 8x + 24y + 40 = 0
= 20x
2. An object thrown from a height of 2 m above the ground follows a parabolic path
until the object falls to the ground (see figure below). If the object reaches a
maximum height (measured from the ground) of 7 m after travelling a horizontal
distance of 4 m, determine the horizontal distance between the object's initial
and final positions.
7 m
2 m
Transcribed Image Text:Solve the following problems. 1. Determine the focus and directrix of the parabola with the given equation. Sketch the graph, and indicate the focus, directrix, and vertex. а. у? b. Зx2 3D —12у с. х2 — 6х — 2у +9 %3D 0 d. 3y? + 8x + 24y + 40 = 0 = 20x 2. An object thrown from a height of 2 m above the ground follows a parabolic path until the object falls to the ground (see figure below). If the object reaches a maximum height (measured from the ground) of 7 m after travelling a horizontal distance of 4 m, determine the horizontal distance between the object's initial and final positions. 7 m 2 m
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